87462966272 has 264 divisors, whose sum is σ = 205116081408. Its totient is φ = 37161287680.

The previous prime is 87462966233. The next prime is 87462966343. The reversal of 87462966272 is 27266926478.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133939898 + ... + 133940550.

Almost surely, 2^87462966272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87462966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558040704).

87462966272 is an abundant number, since it is smaller than the sum of its proper divisors (117653115136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87462966272 is a wasteful number, since it uses less digits than its factorization.

87462966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 736 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 59.

The spelling of 87462966272 in words is "eighty-seven billion, four hundred sixty-two million, nine hundred sixty-six thousand, two hundred seventy-two".